If the lines represented by $x^2 - 2pxy - y^2 = 0$ are rotated about the origin by an angle $\theta$ in clockwise and counter-clockwise directions respectively,then the equation of the bisector of the angle between the lines in the new position is:

  • A
    $px^2 + 2xy - py^2 = 0$
  • B
    $px^2 + 2xy + py^2 = 0$
  • C
    $x^2 - 2pxy + y^2 = 0$
  • D
    None of these

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